No, you cannot eat the eggs while on antibiotics. You'll have to toss them for at least two weeks after the course is over.
The problem with antibiotics is that it may help their symptoms, maybe, but if they have a carrier disease, they are still sick, no matter how they look or act. I do not want carrier birds in my flock if I can help it. Carrier means that they will pass the disease on to previously healthy birds, even when they themselves do not seem ill. If my birds are congested like that, they will be culled. If I think it has spread, I will have one sent for a necropsy to discover the actual disease. Keeping sickly birds is one way to set yourself up for one incident after another and lots more expense. Remember, if it is viral rather than bacterial, antibiotics do nothing.
Edited to add: I want everyone to make informed decisions about this stuff, not operate on false hope and fallacies. Research diseases of poultry, get the Poultry Health Handbook, educate yourself. That's why I cringe when I see someone say their chickens have a "cold" and what drugs to give them, without knowing what they're treating.
The problem with antibiotics is that it may help their symptoms, maybe, but if they have a carrier disease, they are still sick, no matter how they look or act. I do not want carrier birds in my flock if I can help it. Carrier means that they will pass the disease on to previously healthy birds, even when they themselves do not seem ill. If my birds are congested like that, they will be culled. If I think it has spread, I will have one sent for a necropsy to discover the actual disease. Keeping sickly birds is one way to set yourself up for one incident after another and lots more expense. Remember, if it is viral rather than bacterial, antibiotics do nothing.
Edited to add: I want everyone to make informed decisions about this stuff, not operate on false hope and fallacies. Research diseases of poultry, get the Poultry Health Handbook, educate yourself. That's why I cringe when I see someone say their chickens have a "cold" and what drugs to give them, without knowing what they're treating.